1444141406304 has 192 divisors, whose sum is σ = 4262305924800. Its totient is φ = 475647676416.

The previous prime is 1444141406293. The next prime is 1444141406321. The reversal of 1444141406304 is 4036041414441.

1444141406304 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 4 + 14 + 0 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130179382 + ... + 130190474.

It is an arithmetic number, because the mean of its divisors is an integer number (22199510025).

Almost surely, 2^{1444141406304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444141406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131152962400).

1444141406304 is an abundant number, since it is smaller than the sum of its proper divisors (2818164518496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444141406304 is a wasteful number, since it uses less digits than its factorization.

1444141406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1444141406304 in words is "one trillion, four hundred forty-four billion, one hundred forty-one million, four hundred six thousand, three hundred four".